3 papers
math.GT2026
Genus-3 Lefschetz pencils on torus bundles
Evan Huang
We use the breeding technique to construct genus-3 Lefschetz pencils for which the total spaces have . We compute the fundamental groups of our Lefschetz pencils and identif…
math.GT2026
Equivalent genus-2 factorizations of type (4, 3)
Evan Huang
The genus-2 fibrations of type (4, 3) found by Baykur-Korkmaz, Hamada, and Xiao are supported on the same total space. In this short note, we show that the Lefschetz fibration stru…
math.GT2023
On slice pretzel links
Sophia Fanelle, Evan Huang, Ben Huenemann +3
A link is called slice if it bounds a smooth properly embedded surface in the 4-ball with no closed components and Euler characteristic 1. If a link has a single component, the…